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220019381649 = 3361187771171
BaseRepresentation
bin1100110011101000101…
…1010101010110010001
3210000220112021122101000
43030322023111112101
512101044430203044
6245024150532213
721616166613114
oct3147213252621
9700815248330
10220019381649
1185345228a11
1236784067069
1317994a21932
14a912bb057b
155acac6cd69
hex333a2d5591

220019381649 has 32 divisors (see below), whose sum is σ = 331479319680. Its totient is φ = 144196113600.

The previous prime is 220019381629. The next prime is 220019381663. The reversal of 220019381649 is 946183910022.

220019381649 is a `hidden beast` number, since 2 + 200 + 1 + 9 + 381 + 64 + 9 = 666.

220019381649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220019381649 - 212 = 220019377553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220019381629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3055834 + ... + 3127004.

It is an arithmetic number, because the mean of its divisors is an integer number (10358728740).

Almost surely, 2220019381649 is an apocalyptic number.

It is an amenable number.

220019381649 is a deficient number, since it is larger than the sum of its proper divisors (111459938031).

220019381649 is a wasteful number, since it uses less digits than its factorization.

220019381649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73118 (or 73112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 220019381649 in words is "two hundred twenty billion, nineteen million, three hundred eighty-one thousand, six hundred forty-nine".

Divisors: 1 3 9 27 61 183 549 1647 1877 5631 16893 50679 71171 114497 213513 343491 640539 1030473 1921617 3091419 4341431 13024293 39072879 117218637 133587967 400763901 1202291703 3606875109 8148865987 24446597961 73339793883 220019381649